ITM Web of Conferences (Jan 2025)

Dynamics of a Modified Sprott A System

  • Rohman Muhammad Nuur,
  • Tuwankotta Johan Matheus,
  • Harjanto Eric

DOI
https://doi.org/10.1051/itmconf/20257502008
Journal volume & issue
Vol. 75
p. 02008

Abstract

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We examine a modified Sprott A system, one of the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013). For specific parameter values, the modified system exhibits invariant spheres. Using a stereographic map, we analyze the stability of the equilibria and demonstrate that all orbits, except for the unstable equilibrium, converge to the stable equilibrium. For other parameter values, the system has neither invariant spheres nor equilibria. Instead, the state space is foliated by tori.